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Finding the Third Proportional to 126,944 and 300,754

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Solution

The third proportional to 126,944 and 300,754 is: 712,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,944 : 300,754 = 300,754 : x
  2. Step 2: Convert to fraction form
    126,944/300,754 = 300,754/x
  3. Step 3: Cross multiply
    126,944x = 300,754 × 300,754
  4. Step 4: Simplify right side
    126,944x = 90,452,968,516
  5. Step 5: Solve for x
    x = 90,452,968,516/126,944
  6. Step 6: Final answer
    x = 712,542.29

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.